What is the slope of a line perpendicular to the following line?
Answers
Answer:
m =
Step-by-step explanation:
Finding the slope of the given line
We need to find the slope of this equation to find the slope of a line perpendicular to it. This means we must solve for y.
Start off by subtracting 8x from both sides of the equation to start isolating the variable y.
Now solve for y by dividing both sides of the equation by -7.
This can be broken into two parts by distributing the negative sign from the -7 into the 9 and -8x like so:
The slope of a line is the coefficient of x, so in this case the slope of the given line () is
.
Finding the slope of a line perpendicular to the given line
Two lines that are perpendicular would have opposite reciprocal slopes, which means the perpendicular slope would be the negative counterpart and would be flipped.
For example, if you have 2 as the slope of one of the perpendicular lines, the other line would be the opposite (-2) reciprocal ().
Therefore, since we have the slope of one of the perpendicular lines (the given line), we would find the opposite reciprocal of it's slope to solve this problem.
Slope:
- Opposite:
- Reciprocal:
The slope of the line perpendicular to is
.
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Evaluate the given algebraic expression for x = 7 and y = 3. 2x + 2y 10 20 23 15
Answers
Answer:
1) x=9
edit:
2) x=25
Step-by-step explanation:
Since all angles added together in any triangles is 180,
we can conclude that
180=(7x-1)+(5x+2)+(7x+8)
solving for x:
180=19x+9
180-9=19x
171=19x
x=9
Edit:
2)since we are given the outside angle we have to find the inside one first before finding the other angles, a straight line is 180 degrees aswell, so 180-(3x-10) would give you the inside angle in terms of x
so adding them all together again should ewual 180:
180=(180-(3x-10))+25+(x+15)
180=180-3x+10+25+x+15
0=-2x+50
2x=50
x=25
Answers
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Explanation:
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x − (0.25)x = 14000 ; Solve for x.
1x − (0.25)x = (0.75)x ;
(0.75)x = 14000 ;
Divide each side by: "(0.75)" ;
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x = 14000/(0.75) ;
x = 18666.6666666666666667
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18666.6666666666666667
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the measure of DEF?
Answers
The expression which gives the measure of DEF, in the diagram where, DE and Ef are tangent to circle o is 1/2(236-124) degrees.
What is the theorem of two tangents from external point?
When the two tangent are drawn to a circle from an exterior point then according to this theorem-
The length of these two tangents is equal.
- Both the tangents subtend equal angle at the center of the circle.
- The angle between the two tangent is bisect by the line joining to the exterior point and the center.
In the diagram below, DE and EF are tangent to o. In the diagram half of the difference of the arc GF and DF is equal to the angle of the measure of DEF. Thus,
Thus, the expression which gives the measure of DEF, in the diagram where, DE and Ef are tangent to circle o is 1/2(236-124) degrees.
Learn more about the theorem of two tangents from external point here;
Answer:
A
Step-by-step explanation:
∠DEF is a tangent- tangent angle and is measured as
∠DEF = ( arc GF - arc DF), that is
∠DEF = (236 - 124)° → A
Answers
Explanation:
$19,200 is 12% of the price. Take $19,200 and divide by 0.12 to get $160,000.
Answer:
A family paid $19,800 as a down payment for a home. If this represents 12% of the price of the home, find the price of the home.
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Let the price of the home be "x":
Equation:
0.12x = 19800
x = 19800/0.12
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x = $165,000
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Cheers,
Stan H.
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Step-by-step explanation:
Answers
256 pieces needed x 40cm each:
256 x 40 = 10240cm
Then, convert to metres (100cm = 1m)
10240 / 100 = 102.4m
Then, you work out how many balls are needed:
30 can fit into 102.4 3 times with .41m to spare. So, you need three balls of string, PLUS another one to cover the 41cm
So to conclude: 4 balls of string are needed.
Answers
Answer:
0.05 degrees per year
Step-by-step explanation: